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Volumn 42, Issue 9, 1999, Pages 905-916

Further insight into the convergence of the Fletcher-Reeves method

Author keywords

Conjugate gradient; Fletcher Reeves method; Generalized line search; Global convergence; Unconstrained optimization

Indexed keywords


EID: 0043226722     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02880382     Document Type: Article
Times cited : (11)

References (12)
  • 1
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    • Function minimization by conjugate gradient
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    • Fletcher, R.1    Reeves, C.2
  • 2
    • 77957214026 scopus 로고
    • Descent property and global convergence of the Fletcher-Reeves method with inexact line search
    • Al-Baali, M., Descent property and global convergence of the Fletcher-Reeves method with inexact line search, IMA J. Numer. Anal., 1985, 5: 121.
    • (1985) IMA J. Numer. Anal. , vol.5 , pp. 121
    • Al-Baali, M.1
  • 3
    • 0030515335 scopus 로고    scopus 로고
    • Convergence properties of the Kletcher-Reeves method
    • Dai, Y. H., Yuan, Y., Convergence properties of the Kletcher-Reeves method, IMA J. Numer. Anal., 1996, 16(2): 155.
    • (1996) IMA J. Numer. Anal. , vol.16 , Issue.2 , pp. 155
    • Dai, Y.H.1    Yuan, Y.2
  • 4
    • 0002824920 scopus 로고
    • Global convergence properties of conjugate gradient methods for optimization
    • Gilbert, J. C., Nocedal, J., Global convergence properties of conjugate gradient methods for optimization, SIAM. J. Optimization. 1992, 2(1): 21.
    • (1992) SIAM. J. Optimization , vol.2 , Issue.1 , pp. 21
    • Gilbert, J.C.1    Nocedal, J.2
  • 5
    • 0026253861 scopus 로고
    • Global convergence of the Fletcher-Reeves methods
    • HU, Y. F., Storey, C., Global convergence of the Fletcher-Reeves methods, JOTA, 1991, 71(2): 399.
    • (1991) JOTA , vol.71 , Issue.2 , pp. 399
    • Hu, Y.F.1    Storey, C.2
  • 6
    • 0001219541 scopus 로고
    • Nonconvex minimization calculations and the conjugate gradient method
    • Berlin: Springer-Verlag
    • Powell, M. J. D., Nonconvex minimization calculations and the conjugate gradient method, in Lecture Notes in Mathematics Berlin: Springer-Verlag, 1984, 1066: 122-141.
    • (1984) Lecture Notes in Mathematics , vol.1066 , pp. 122-141
    • Powell, M.J.D.1
  • 8
    • 0001854432 scopus 로고
    • Nonlinear programming, computational methods
    • (ed. Abadie, J.), Amsterdam: North-Holland
    • Zoutendijk, G., Nonlinear programming, computational methods, in Integer and Nonlinear Programming (ed. Abadie, J.), Amsterdam: North-Holland, 1970, 37-86.
    • (1970) Integer and Nonlinear Programming , pp. 37-86
    • Zoutendijk, G.1
  • 10
    • 0042727449 scopus 로고    scopus 로고
    • Global convergence properties of s-related conjugate gradient methods
    • Wang, C. Y., Zhang, Y. Z., Global convergence properties of s-related conjugate gradient methods, Chinese Science Bulletin, 1998, 43(23): 1959.
    • (1998) Chinese Science Bulletin , vol.43 , Issue.23 , pp. 1959
    • Wang, C.Y.1    Zhang, Y.Z.2
  • 11
    • 0001423485 scopus 로고
    • A tool for the analysis of quasi-Newton methods with application to unconstrained minimization
    • Byrd, R. H., Nocedal, J., A tool for the analysis of quasi-Newton methods with application to unconstrained minimization, SIAM J. Numer. Anal., 1989, 26(3): 727.
    • (1989) SIAM J. Numer. Anal. , vol.26 , Issue.3 , pp. 727
    • Byrd, R.H.1    Nocedal, J.2
  • 12
    • 0001221773 scopus 로고
    • On the convergence properties of the DFP algorithms
    • Pu, D., Yu, W., On the convergence properties of the DFP algorithms, Annals of Operations Research, 1990, 24: 175.
    • (1990) Annals of Operations Research , vol.24 , pp. 175
    • Pu, D.1    Yu, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.